As for the show: it's flashy, the sets look really nice (the Enterprise bridge was awesome, especially compared to the Apple store version from the J.J.Abrams films) and they have some really decent actors. But it's just a generic action packed SciFi adventure, not Star Trek.
Star Trek doesn't usually do the "evil villain" plotlines in the TV shows, that's only used in the movies - because it's what you do in a movie. That battle in the season finale was ripped right out of Battlestar Galactica or Star Wars, Federation starships don't deploy an army of small fighter planes. That stupid race through the asteroid field in the season opener was all eyecandy without substance as well. Some of the plotlines are beyond stupid: Burnham and Georgiou letting themselves be captured in the S1 finale so they can overpower 50 or so armed enemies after being led to the bridge (Georgiou to Burnham: "Good plan!")? Ouch. And you should never look at the plot too closely, that's going to give you a headache. Thank god it's so flashy, so you're too busy to notice.
I'll still watch it, but I'm not convinced yet.